Dependence of Discrete Sturm-Liouville Eigenvalues on Problems

  title={Dependence of Discrete Sturm-Liouville Eigenvalues on Problems},
  author={Hao Zhu and Shurong Sun and Yuming Shi and Hongyou Wu},
This paper is concerned with dependence of discrete Sturm-Liouville eigenvalues on problems. Topologies and geometric structures on various spaces of such problems are firstly introduced. Then, relationships between the analytic and geometric multiplicities of an eigenvalue are discussed. It is shown that all problems sufficiently close to a given problem have eigenvalues near each eigenvalue of the given problem. So, all the simple eigenvalues live in so-called continuous simple eigenvalue… CONTINUE READING


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